On Decomposition of the ABS Lattice Equations and Related Bäcklund Transformations
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Publication:5231109
DOI10.1080/14029251.2018.1440741zbMath1420.35302arXiv1705.00843OpenAlexW2963168065MaRDI QIDQ5231109
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.00843
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Difference equations (39A99) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (5)
Rational solutions to Q3 δ in the Adler-Bobenko-Suris list and degenerations ⋮ Addition formulae, Bäcklund transformations, periodic solutions, and quadrilateral equations ⋮ Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation ⋮ On one-soliton solutions of the Q2 equation in the ABS List ⋮ Lax pair and lump solutions for the \((2+1)\)-dimensional DJKM equation associated with bilinear Bäcklund transformations
Cites Work
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- On Discrete Painlevé Equations Associated with the Lattice KdV Systems and the Painlevé VI Equation
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- Singular-Boundary Reductions of Type-Q ABS Equations
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